Computer Science > Systems and Control

Title:
Model-order reduction of biochemical reaction networks

Abstract: In this paper we propose a model-order reduction method for chemical reaction
networks governed by general enzyme kinetics, including the mass-action and
Michaelis-Menten kinetics. The model-order reduction method is based on the
Kron reduction of the weighted Laplacian matrix which describes the graph
structure of complexes in the chemical reaction network. We apply our method to
a yeast glycolysis model, where the simulation result shows that the transient
behaviour of a number of key metabolites of the reduced-order model is in good
agreement with those of the full-order model.